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Bingel [31]
3 years ago
5

The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers.

Write your answer as two numbers separated by a coma.
Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

20, 24

Step-by-step explanation:

smaller:   x

  larger:  2x - 16

x + 2x - 16 = 44

3x -16 = 44

3x = 60

x = 20

smaller:   x = 20

  larger:  2x - 16 = 2(20) - 16 = 24

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How can help me pls I need help
dolphi86 [110]

Answer:

\lim_{x \to 2^-} x^3=2^3=\boxed8\\  \lim_{x \to 2^+} 3x-4=3\cdot 2-4=6-4=\boxed2

\lim_{x \to 2} f(x) does not exist

Step-by-step explanation:

Inserting 2 to both formulas, you get different results. In that cases, a limit does not exist

6 0
3 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
UkoKoshka [18]

Solution

f(x) = -20x^{2} +14x + 12 and g(x) = 5x - 6.

(f/g)(x) = \frac{f(x)}{g(y)}

(f/g)(x) = \frac{-20x^{2}+14x +12 }{5x - 6}

<u>Step 1: </u>Now we have to factorize the numerator.

f(x) = -20x^2 + 14x + 12

Factor out -2, we get

= -2 (10x^2 - 7x - 6)

Now we can factorize 10x^2 - 7x - 6                  

f(x) = -2(2x + 1) (5x - 6)

<u>Step 2: </u>Plug in the factors

(f/g)(x) = \frac{-2 (2x +1)(5x - 6)}{(5x - 6)}

<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get

(f/g)(x) = -2(2x +1) = -4x -2

Since -4x -2 is linear expression, the domain is all the real numbers.

Therefore, the answer is –4x – 2; all real numbers

Thank you :)

4 0
3 years ago
Find the total surface area of this cone.<br> leave your answer in terms of pi<br> R=3<br> L=4
Yuliya22 [10]

Answer:

total surface area of cone is πr (r+l)

22/7 x 3 (3+4)

22/7*3 (7)

22 x 3 ( as 7 that was divided by 22 was cut out with 7 in the bracket)

hence,

TSA of cone = 66pi

8 0
2 years ago
Kevin bicycles a total of 2,340 miles last year. On average, about how many miles did he bike each week? 195 45 44 46
svlad2 [7]

In order to find the average you have to add up all the data values and then find the sum of the data values.

195 + 45 + 44 + 46 = 330\\\frac{330}{4} = 82.5\\\\

So on average he ran about 82.5 miles.

7 0
3 years ago
What is the distance between (4,7) and (2,2)?
algol [13]
\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ 4}}\quad ,&{{ 7}})\quad &#10;%  (c,d)&#10;&({{ 2}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;d=\sqrt{(2-4)^2+(2-7)^2}\implies d=\sqrt{(-2)^2+(-5)^2}&#10;\\\\\\&#10;d=\sqrt{4+25}\implies d=\sqrt{29}
7 0
3 years ago
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